
Time bar (total: 12.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 37.5% | 37.5% | 62.5% | 0% | 0% | 0% | 0% | 4 |
| 43.8% | 43.7% | 56.2% | 0% | 0% | 0% | 0% | 5 |
| 46.9% | 46.9% | 53.1% | 0% | 0% | 0% | 0% | 6 |
| 48.4% | 48.4% | 51.5% | 0% | 0% | 0% | 0% | 7 |
| 49.2% | 49.2% | 50.8% | 0% | 0% | 0% | 0% | 8 |
| 50.4% | 50.4% | 49.6% | 0% | 0% | 0% | 0% | 9 |
| 51% | 51% | 49% | 0% | 0% | 0% | 0% | 10 |
| 51.3% | 51.2% | 48.7% | 0% | 0% | 0% | 0% | 11 |
| 51.3% | 51.3% | 48.7% | 0% | 0% | 0% | 0% | 12 |
Compiled 7 to 6 computations (14.3% saved)
| 2.1s | 5 544× | 2 | valid |
| 620.0ms | 7 594× | 1 | exit |
| 334.0ms | 2 370× | 1 | valid |
| 18.0ms | 342× | 0 | valid |
| 0.0ms | 1× | 5 | exit |
ival-log: 1.2s (50.7% of total)ival-sinh: 709.0ms (29.9% of total)ival-div: 236.0ms (9.9% of total)adjust: 206.0ms (8.7% of total)ival-true: 14.0ms (0.6% of total)ival-assert: 7.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 147 | 107 | (1.7456925340441837e-298) | 0 | - | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 0 | 0 | - | 0 | - | (sinh.f64 x) |
| 0 | 0 | - | 0 | - | (/.f64 (sinh.f64 x) x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | sensitivity | 252 | 0 |
log.f64 | (log.f64 (/.f64 (sinh.f64 x) x)) | oflow-rescue | 2 | 0 |
| ↳ | (sinh.f64 x) | overflow | 2 | |
| ↳ | (/.f64 (sinh.f64 x) x) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 147 | 0 |
| - | 107 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 147 | 0 | 0 |
| - | 107 | 0 | 2 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 141.0ms | 326× | 2 | valid |
| 30.0ms | 178× | 1 | valid |
| 0.0ms | 8× | 0 | valid |
Compiled 34 to 16 computations (52.9% saved)
ival-log: 64.0ms (49.1% of total)ival-sinh: 40.0ms (30.7% of total)ival-div: 14.0ms (10.7% of total)adjust: 11.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 072× | lower-fma.f64 |
| 1 072× | lower-fma.f32 |
| 784× | lower-*.f64 |
| 784× | lower-*.f32 |
| 648× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 20 | 15 |
| 2 | 53 | 15 |
| 3 | 148 | 15 |
| 4 | 446 | 15 |
| 5 | 1346 | 15 |
| 6 | 2402 | 15 |
| 7 | 2924 | 15 |
| 8 | 3206 | 15 |
| 9 | 3244 | 15 |
| 10 | 3246 | 15 |
| 11 | 3246 | 15 |
| 0 | 4 | 5 |
| 0 | 7 | 5 |
| 1 | 13 | 5 |
| 2 | 26 | 5 |
| 3 | 52 | 5 |
| 4 | 93 | 5 |
| 5 | 178 | 5 |
| 6 | 374 | 5 |
| 7 | 644 | 5 |
| 8 | 1118 | 5 |
| 9 | 1798 | 5 |
| 10 | 1910 | 5 |
| 11 | 1972 | 5 |
| 12 | 2145 | 5 |
| 13 | 2345 | 5 |
| 14 | 2419 | 5 |
| 15 | 2456 | 5 |
| 16 | 2456 | 5 |
| 17 | 2480 | 5 |
| 0 | 2480 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 x) | |
| cost-diff | 0 | (/.f64 (sinh.f64 x) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1 072× | lower-fma.f64 |
| 1 072× | lower-fma.f32 |
| 784× | lower-*.f64 |
| 784× | lower-*.f32 |
| 584× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 12 |
| 0 | 7 | 12 |
| 1 | 13 | 12 |
| 2 | 26 | 12 |
| 3 | 52 | 12 |
| 4 | 93 | 12 |
| 5 | 178 | 12 |
| 6 | 374 | 12 |
| 7 | 644 | 12 |
| 8 | 1118 | 12 |
| 9 | 1798 | 12 |
| 10 | 1910 | 12 |
| 11 | 1972 | 12 |
| 12 | 2145 | 12 |
| 13 | 2345 | 12 |
| 14 | 2419 | 12 |
| 15 | 2456 | 12 |
| 16 | 2456 | 12 |
| 17 | 2480 | 12 |
| 0 | 2480 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 (sinh.f64 x) x) | |
| accuracy | 0.00390625 | (sinh.f64 x) | |
| accuracy | 34.04898361246748 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 87.0ms | 163× | 2 | valid |
| 12.0ms | 89× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-div: 36.0ms (40.4% of total)ival-log: 31.0ms (34.8% of total)ival-sinh: 19.0ms (21.3% of total)adjust: 4.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f64 (/.f64 (sinh.f64 x) x)) (patch (log.f64 (/.f64 (sinh.f64 x) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) (taylor -inf x) (#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/6 (pow x 2)))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) (taylor 0 x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | -inf | (log (/ (sinh x) x)) |
| 32.0ms | x | @ | inf | (log (/ (sinh x) x)) |
| 2.0ms | x | @ | 0 | (log (/ (sinh x) x)) |
| 0.0ms | x | @ | 0 | (/ (sinh x) x) |
| 0.0ms | x | @ | 0 | (sinh x) |
| 1× | egg-herbie |
| 16 092× | lower-fma.f64 |
| 16 092× | lower-fma.f32 |
| 4 562× | lower-*.f64 |
| 4 562× | lower-*.f32 |
| 2 156× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) x) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 4 024× | lower-*.f64 |
| 4 024× | lower-*.f32 |
| 3 684× | lower-/.f32 |
| 3 682× | lower-/.f64 |
| 2 016× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 11 |
| 0 | 7 | 11 |
| 1 | 23 | 11 |
| 2 | 124 | 11 |
| 3 | 931 | 11 |
| 0 | 8549 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
| Outputs |
|---|
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x)))) |
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)))) |
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (neg.f64 (log.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x))) |
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (log.f64 (*.f64 (+.f64 x x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) |
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 x) x))) (log.f64 #s(literal -2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x)))) |
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) (log.f64 #s(literal -2 binary64))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sinh.f64 x))) |
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64))) (log.f64 #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (sinh.f64 x) x))))) |
(fma.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (sinh.f64 x) x))) #s(literal 0 binary64)) |
(fma.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x)))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (neg.f64 (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 (sinh.f64 x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 x))) |
(fma.f64 (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) #s(literal 0 binary64)) |
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x)))) |
(neg.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x))))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (*.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x)))))) (-.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (*.f64 (log.f64 (*.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x))) (log.f64 (/.f64 (sinh.f64 x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (sinh.f64 x))) (neg.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 (*.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (-.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))))) |
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(/.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (sinh.f64 x) x))) |
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(*.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
Compiled 9 242 to 1 607 computations (82.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 9 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 470 | 10 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 46.7% | (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))) | |
| ▶ | 46.8% | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
| ✓ | 46.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| ▶ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))) | |
| ▶ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
Compiled 320 to 168 computations (47.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (sinh.f64 x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| 6 318× | lower-fma.f32 |
| 6 304× | lower-fma.f64 |
| 3 482× | lower-*.f32 |
| 3 464× | lower-*.f64 |
| 1 582× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 285 |
| 0 | 67 | 285 |
| 1 | 146 | 285 |
| 2 | 373 | 285 |
| 3 | 805 | 285 |
| 4 | 1421 | 285 |
| 5 | 2312 | 285 |
| 6 | 3617 | 285 |
| 7 | 6497 | 285 |
| 0 | 8192 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(*.f64 x #s(literal 1/2835 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
#s(literal -1/37800 binary64) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
#s(literal 2 binary64) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(*.f64 x #s(literal 1/2835 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) |
#s(literal -1/37800 binary64) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x #s(literal 1/120 binary64)) |
#s(literal 1/120 binary64) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) |
(log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x) |
(/.f64 (sinh.f64 x) x) |
(sinh.f64 x) |
x |
#s(literal 2 binary64) |
(log.f64 #s(literal 2 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (log.f64 #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (sinh.f64 x) | |
| accuracy | 0.48413978060199747 | (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) | |
| accuracy | 33.56875008022983 | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08203125 | (*.f64 x #s(literal 1/120 binary64)) | |
| accuracy | 0.8752080299657721 | #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) | |
| accuracy | 34.04898361246748 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| accuracy | 0.01953125 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) | |
| accuracy | 0.1875 | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 0.4453125 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) | |
| accuracy | 0.8829660839417555 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1875 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.9006519457346491 | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) | |
| accuracy | 0.12890625 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| accuracy | 0.359375 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 0.43359375 | (*.f64 x #s(literal 1/2835 binary64)) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| 289.0ms | 162× | 2 | valid |
| 67.0ms | 90× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 240 to 39 computations (83.8% saved)
const: 75.0ms (27.6% of total)ival-log: 75.0ms (27.6% of total)ival-mult: 43.0ms (15.8% of total)adjust: 36.0ms (13.3% of total)ival-sinh: 20.0ms (7.4% of total)ival-add: 14.0ms (5.2% of total)ival-div: 6.0ms (2.2% of total)ival-sub: 3.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) (patch (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (patch (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) (patch (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sinh.f64 x) x) (patch (/.f64 (sinh.f64 x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2835 binary64)) (patch (*.f64 x #s(literal 1/2835 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/120 binary64)) (patch (*.f64 x #s(literal 1/120 binary64)) #<representation binary64>) () ()) |
#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(literal 2 binary64)) (patch (log.f64 #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2835 (pow x 6)) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2835 (pow x 6)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (- (exp x) (/ 1 (exp x)))) (taylor -inf x) (#s(alt (sinh.f64 x) (patch (sinh.f64 x) #<representation binary64>) () ())) ()) |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | x | @ | inf | (- (log (* (/ (sinh x) x) 2)) (log 2)) |
| 19.0ms | x | @ | -inf | (- (log (* (/ (sinh x) x) 2)) (log 2)) |
| 1.0ms | x | @ | 0 | (- (log (* (/ (sinh x) x) 2)) (log 2)) |
| 1.0ms | x | @ | inf | (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))) |
| 1.0ms | x | @ | inf | (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)) |
| 1× | egg-herbie |
| 13 340× | lower-fma.f64 |
| 13 340× | lower-fma.f32 |
| 4 140× | lower-*.f64 |
| 4 140× | lower-*.f32 |
| 2 984× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 2564 |
| 1 | 407 | 2534 |
| 2 | 1027 | 2526 |
| 3 | 2927 | 2526 |
| 4 | 6370 | 2526 |
| 0 | 8172 | 2415 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 8)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* -1/37800 (pow x 6)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2)) |
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2)) |
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2)) |
(- (+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) (log 2)) |
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2)) |
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2)) |
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2)) |
(- (+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (log 2)) |
(log 2) |
(+ (log 2) (* 1/6 (pow x 2))) |
(+ (log 2) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))) |
(+ (log 2) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))) |
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) |
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) |
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) |
(+ (log (- (exp x) (/ 1 (exp x)))) (log (/ 1 x))) |
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
2 |
(+ 2 (* 1/3 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
(/ (- (exp x) (/ 1 (exp x))) x) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* 1/2835 x) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* x (+ 1/2835 (* -1/37800 (pow x 2)))) |
(* -1/37800 (pow x 3)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800)) |
(* -1/37800 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2)))))) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
(* 1/120 x) |
x |
(* x (+ 1 (* 1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))) |
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
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(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 x x)) x) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(* 1/2 (- (exp x) (/ 1 (exp x)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 5 172× | lower-fma.f32 |
| 5 158× | lower-fma.f64 |
| 4 078× | lower-/.f32 |
| 4 076× | lower-/.f64 |
| 3 938× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 230 |
| 0 | 67 | 225 |
| 1 | 256 | 225 |
| 2 | 1853 | 225 |
| 0 | 8586 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
(log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64)) |
(/.f64 (sinh.f64 x) x) |
(*.f64 x #s(literal 1/2835 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(*.f64 x #s(literal 1/120 binary64)) |
(sinh.f64 x) |
(log.f64 #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) |
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(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
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(fma.f64 (*.f64 x (*.f64 x #s(literal 1/120 binary64))) (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x)) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) x) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/22785532875 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64))) (*.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2835 binary64))))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal 1/2835 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/37800 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/2835 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) (-.f64 #s(literal 1/8037225 binary64) (*.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))) |
(*.f64 x #s(literal 1/120 binary64)) |
(*.f64 #s(literal 1/120 binary64) x) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(neg.f64 (neg.f64 (sinh.f64 x))) |
(sinh.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (sinh.f64 x)) |
(*.f64 (sinh.f64 x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x))) |
(*.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
Compiled 27 575 to 2 240 computations (91.9% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 16 | 916 |
| Fresh | 3 | 1 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 903 | 23 | 926 |
| Status | Accuracy | Program |
|---|---|---|
| 3.8% | (fma.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) | |
| ✓ | 46.8% | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
| 20.7% | (+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 46.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ▶ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 2.1% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) | |
| 1.7% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) | |
| 98.4% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) | |
| 98.5% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| 97.5% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))) | |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ▶ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
| ▶ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) | |
| ▶ | 98.5% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
| ✓ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| ▶ | 23.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
Compiled 1 017 to 438 computations (56.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) | |
| cost-diff | 1792 | (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| cost-diff | 0 | #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) | |
| cost-diff | 0 | (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
| 15 658× | lower-fma.f32 |
| 15 648× | lower-fma.f64 |
| 3 646× | lower-*.f32 |
| 3 612× | lower-*.f64 |
| 3 198× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 838 |
| 0 | 88 | 804 |
| 1 | 199 | 658 |
| 2 | 569 | 618 |
| 3 | 2612 | 618 |
| 4 | 4907 | 618 |
| 0 | 8433 | 602 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
x |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
#s(literal 1/2835 binary64) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
x |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
#s(literal 1/216 binary64) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
x |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(*.f64 x #s(literal 1/6 binary64)) |
x |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
x |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
#s(literal 1/2835 binary64) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
#s(literal 1/6 binary64) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1/180 binary64) (*.f64 x x)) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (sinh x) x) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) #s(literal 1/216 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) #s(literal 1/216 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) #s(literal 1/36 binary64))) |
x |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) #s(literal 1/36 binary64)))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) #s(literal 1/216 binary64))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))) #s(literal 1/216 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(*.f64 x x) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) |
#s(literal 1/216 binary64) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) #s(literal 1/36 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/36 binary64)) |
#s(literal 1/36 binary64) |
(*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/17010 binary64) (*.f64 x #s(literal -1/1080 binary64)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/17010 binary64) (*.f64 x #s(literal -1/1080 binary64))) |
#s(literal 1/6 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34375 | (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) | |
| accuracy | 0.37890625 | (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) | |
| accuracy | 0.39681625976844204 | (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) | |
| accuracy | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.8964301462431967 | #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 34.04898361246748 | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| accuracy | 21.914062500000004 | (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) | |
| accuracy | 47.46569270303529 | (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| accuracy | 0.125 | (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) | |
| accuracy | 0.35546875 | (*.f64 x #s(literal 1/6 binary64)) | |
| accuracy | 0.9006519457346491 | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) | |
| accuracy | 0.01171875 | (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) | |
| accuracy | 0.12890625 | (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) | |
| accuracy | 0.26953125 | (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
| 319.0ms | 163× | 2 | valid |
| 171.0ms | 89× | 1 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 677 to 51 computations (92.5% saved)
ival-mult: 95.0ms (22.2% of total)ival-div: 75.0ms (17.5% of total)adjust: 73.0ms (17.1% of total)const: 70.0ms (16.4% of total)ival-add: 59.0ms (13.8% of total)ival-log: 34.0ms (7.9% of total)ival-sinh: 20.0ms (4.7% of total)ival-sub: 2.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) (patch (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) (patch (*.f64 (*.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/6 binary64)) (patch (*.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (patch (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (patch #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (patch (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) (patch (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (patch (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (patch (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (patch (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2835 (pow x 5)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2835 (pow x 5)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/22785532875 (pow x 13)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/22785532875 (pow x 13)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (patch (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) #<representation binary64>) () ())) ()) |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (/ (* (+ (* (* x (* x (+ (* (* x x) 1/2835) -1/180))) (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) 1/36) (* x (* (* x (+ (* (* x x) 1/2835) -1/180)) 1/6))))) |
| 0.0ms | x | @ | 0 | (* x (/ (* (+ (* (* x (* x (+ (* (* x x) 1/2835) -1/180))) (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180))))) 1/216) x) (- (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) 1/36) (* x (* (* x (+ (* (* x x) 1/2835) -1/180)) 1/6))))) |
| 0.0ms | x | @ | inf | (- (+ (* (* x x) (* (* x (+ (* (* x x) 1/2835) -1/180)) (* x (+ (* (* x x) 1/2835) -1/180)))) 1/36) (* x (* (* x (+ (* (* x x) 1/2835) -1/180)) 1/6))) |
| 0.0ms | x | @ | -inf | (* (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))) (* (* x (* x (* x x))) x)) |
| 0.0ms | x | @ | 0 | (* (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))) (* (* x (* x (* x x))) x)) |
| 1× | egg-herbie |
| 13 648× | lower-fma.f64 |
| 13 648× | lower-fma.f32 |
| 4 966× | lower-+.f64 |
| 4 966× | lower-+.f32 |
| 4 830× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 3152 |
| 1 | 599 | 3128 |
| 2 | 1527 | 3128 |
| 3 | 3907 | 3128 |
| 0 | 8260 | 3016 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* 1/6 (pow x 2))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/36 |
(+ 1/36 (* 1/1080 (pow x 2))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))) |
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/8037225 (pow x 8)) |
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))) |
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2))))) |
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1/180 x) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* x (- (* 1/2835 (pow x 2)) 1/180)) |
(* 1/2835 (pow x 3)) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
1/6 |
(+ 1/6 (* -1/180 (pow x 2))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 4)) |
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(/ 1/6 (pow x 4)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4)) |
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4)) |
(/ -1/180 (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ -1/180 (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(/ 1/6 (pow x 4)) |
(* -1/1080 x) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(* 1/17010 (pow x 3)) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(* 1/17010 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(* 1/216 x) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(* 1/22785532875 (pow x 13)) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(* 1/22785532875 (pow x 13)) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
| Outputs |
|---|
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/2835 (pow x 5)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* 1/2835 (pow x 6)) |
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -59/94500 binary64)) #s(literal -19/3150 binary64))) #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(/ 2835 (pow x 4)) |
(/.f64 #s(literal 2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -10180485/16 binary64) (/.f64 #s(literal -1991624355/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 2835 (pow x 4)) |
(/.f64 #s(literal 2835 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/.f64 (+.f64 (/.f64 #s(literal 178605/4 binary64) (*.f64 x x)) (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal -10180485/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
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(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ 1/6 (pow x 4)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1/1080 x) |
(*.f64 x #s(literal -1/1080 binary64)) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/17010 binary64) #s(literal -1/1080 binary64))) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/17010 binary64) #s(literal -1/1080 binary64))) |
(* x (- (* 1/17010 (pow x 2)) 1/1080)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/17010 binary64) #s(literal -1/1080 binary64))) |
(* 1/17010 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/17010 binary64))) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* 1/17010 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/17010 binary64))) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/17010 binary64) (/.f64 #s(literal -1/1080 binary64) (*.f64 x x)))) |
(* 1/216 x) |
(*.f64 x #s(literal 1/216 binary64)) |
(* x (+ 1/216 (* -1/5832000 (pow x 6)))) |
(fma.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/30618000 binary64)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64))) |
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))) |
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/482233500 binary64) #s(literal 1/30618000 binary64)) #s(literal -1/5832000 binary64)) (pow.f64 x #s(literal 7 binary64)) (*.f64 x #s(literal 1/216 binary64))) |
(* 1/22785532875 (pow x 13)) |
(*.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)))) |
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
(* 1/22785532875 (pow x 13)) |
(*.f64 #s(literal 1/22785532875 binary64) (pow.f64 x #s(literal 13 binary64))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4)))))) |
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal -1/482233500 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/30618000 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/22785532875 binary64) (/.f64 #s(literal -1/5832000 binary64) (pow.f64 x #s(literal 6 binary64))))))) |
| 6 696× | lower-fma.f32 |
| 6 686× | lower-fma.f64 |
| 4 934× | lower-*.f32 |
| 4 902× | lower-*.f64 |
| 4 534× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 631 |
| 0 | 88 | 423 |
| 1 | 380 | 378 |
| 2 | 2801 | 370 |
| 0 | 9665 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))) (/.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64))))) |
(fma.f64 x #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) |
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) x (*.f64 x #s(literal 1/6 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) |
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(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 6 binary64)) #s(literal -1/46656 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/216 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))) (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/216 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/216 binary64)) (*.f64 x #s(literal 1/216 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) (*.f64 x #s(literal 1/216 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/216 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x)) (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/216 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) (-.f64 (*.f64 (*.f64 #s(literal 1/216 binary64) x) (*.f64 #s(literal 1/216 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) x) (*.f64 #s(literal 1/216 binary64) x))))) |
(*.f64 x (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/216 binary64)) x) |
Compiled 85 332 to 4 198 computations (95.1% saved)
27 alts after pruning (19 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 501 | 12 | 1 513 |
| Fresh | 5 | 7 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 509 | 27 | 1 536 |
| Status | Accuracy | Program |
|---|---|---|
| 3.8% | (fma.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) | |
| ✓ | 46.8% | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
| 20.7% | (+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 46.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 2.1% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) | |
| ▶ | 1.7% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
| 2.1% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 98.4% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) | |
| 98.5% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ▶ | 98.3% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
| 97.5% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))) | |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) | |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
| 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) | |
| ▶ | 98.5% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
| ▶ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
| ✓ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| 23.3% | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| ▶ | 23.3% | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
Compiled 919 to 450 computations (51% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) | |
| cost-diff | 0 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| cost-diff | 0 | #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) | |
| cost-diff | 0 | (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) | |
| cost-diff | 0 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
| 3 534× | lower-fma.f32 |
| 3 528× | lower-fma.f64 |
| 3 384× | lower-*.f32 |
| 3 362× | lower-*.f64 |
| 2 214× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 714 |
| 0 | 97 | 664 |
| 1 | 199 | 626 |
| 2 | 364 | 616 |
| 3 | 634 | 616 |
| 4 | 975 | 616 |
| 5 | 1288 | 616 |
| 6 | 1805 | 616 |
| 7 | 2608 | 616 |
| 8 | 3373 | 616 |
| 9 | 3985 | 616 |
| 10 | 4578 | 616 |
| 0 | 8084 | 610 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) |
(*.f64 x x) |
#s(literal 1/5 binary64) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
x |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(literal 1/2835 binary64) |
#s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) |
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal -1/180 binary64) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
x |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(*.f64 x x) |
#s(literal 1/5 binary64) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) |
x |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) |
#s(literal 1 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) |
(fma.f64 #s(literal 1/2835 binary64) (*.f64 x x) #s(literal -1/180 binary64)) |
#s(literal 1/2835 binary64) |
#s(literal -1/180 binary64) |
#s(literal 1/6 binary64) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) |
x |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) |
(+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) |
#s(literal 1/2835 binary64) |
#s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x))) |
(/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)) |
(+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal -1/180 binary64) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
#s(literal 1/6 binary64) |
(*.f64 x x) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) |
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64)))) |
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/120 binary64)) |
x |
(*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/120 binary64))) |
#s(literal 1/120 binary64) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f64 x (*.f64 x x)) | |
| accuracy | 0.8752080299657721 | #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) | |
| accuracy | 34.04898361246748 | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) | |
| accuracy | 61.19762464123334 | #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) | |
| accuracy | 0.12890625 | (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) | |
| accuracy | 0.209316259768442 | (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| accuracy | 47.46569270303529 | (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) | |
| accuracy | 0.12109375 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| accuracy | 0.26171875 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| accuracy | 0.359375 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) | |
| accuracy | 0.12890625 | (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) | |
| accuracy | 0.9257946470289491 | #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) | |
| accuracy | 0.12890625 | (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) | |
| accuracy | 0.8357372036735351 | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) | |
| accuracy | 0.8498185286056733 | #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
| 225.0ms | 163× | 2 | valid |
| 77.0ms | 89× | 1 | valid |
| 2.0ms | 4× | 0 | valid |
Compiled 408 to 54 computations (86.8% saved)
ival-mult: 77.0ms (30.7% of total)adjust: 44.0ms (17.5% of total)ival-log: 34.0ms (13.5% of total)ival-div: 31.0ms (12.4% of total)ival-sinh: 22.0ms (8.8% of total)ival-add: 21.0ms (8.4% of total)const: 21.0ms (8.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) (patch (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) (patch #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) (patch (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) (patch #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (patch (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) (patch (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (patch #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (patch (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) (patch (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) (patch #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) (taylor 0 x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) (patch #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/120 (pow x 4)) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) (patch #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/120 (pow x 4)) (taylor -inf x) (#s(alt (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) (patch (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 6 (* 1/5 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/5 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | x | @ | inf | (/ (sinh x) x) |
| 0.0ms | x | @ | -inf | (* x (* x x)) |
| 0.0ms | x | @ | 0 | (* x (* 1/120 (* x (* x x)))) |
| 0.0ms | x | @ | 0 | (* x (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 (* x (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6))) |
| 1× | egg-herbie |
| 13 578× | lower-fma.f64 |
| 13 578× | lower-fma.f32 |
| 3 680× | lower-*.f64 |
| 3 680× | lower-*.f32 |
| 3 454× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 3068 |
| 1 | 375 | 3043 |
| 2 | 900 | 3042 |
| 3 | 2156 | 3042 |
| 4 | 4851 | 3040 |
| 0 | 8351 | 2917 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) |
(+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(/ 2835 (pow x 4)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 4)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 4)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 4)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(/ 6 x) |
(/ (+ 6 (* 1/5 (pow x 2))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x) |
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x) |
(/ 2835 (pow x 5)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5)) |
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5)) |
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)) |
(/ 2835 (pow x 5)) |
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5)) |
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 6)) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* 1/2835 (pow x 5)) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(* 1/2835 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
1 |
(+ 1 (* 1/6 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
(* 1/120 (pow x 4)) |
6 |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* 1/5 (pow x 2))) |
(+ 6 (* 1/5 (pow x 2))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* 1/5 (pow x 2)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(/ 1/6 (pow x 2)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x))) |
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x)) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(* 1/2835 (pow x 6)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/2835 (pow x 6)) |
(*.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x))))) |
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* x (+ 1/6 (* -1/180 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
(* 1/2835 (pow x 5)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* 1/2835 (pow x 5)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2835 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4)))))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
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(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))) |
(+.f64 (log.f64 (*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal -1/2 binary64))) (neg.f64 (log.f64 (neg.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/6 (pow x 2))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(* 1/120 (pow x 4)) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(+ 6 (* 1/5 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* 1/5 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/5 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(* (pow x 2) (+ 1/5 (* 6 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 1/6 (pow x 2)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
| 4 384× | lower-fma.f32 |
| 4 378× | lower-fma.f64 |
| 4 258× | lower-/.f32 |
| 4 246× | lower-/.f64 |
| 4 092× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 567 |
| 0 | 97 | 527 |
| 1 | 411 | 499 |
| 2 | 2635 | 491 |
| 0 | 8459 | 477 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))))) |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))) |
#s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
(*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))) |
#s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) |
(*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
#s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))))) |
#s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) (/.f64 (*.f64 x x) (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) |
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x))) |
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) (/.f64 x (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))))) |
(/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) x)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 216 binary64))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 216 binary64))) (neg.f64 (+.f64 #s(literal 36 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64)) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) #s(literal -36 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -6 binary64)))) |
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64))) (-.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) #s(literal -36 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64)))) (neg.f64 (-.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal 1/5 binary64))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 216 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -6 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) #s(literal -36 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/125 binary64)) #s(literal 216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 6/5 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/25 binary64) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal -6 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1/6 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1/6 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x #s(literal 1/6 binary64)) x))) |
(/.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x))))) |
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
Compiled 14 082 to 1 210 computations (91.4% saved)
26 alts after pruning (15 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 6 | 604 |
| Fresh | 5 | 9 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 605 | 26 | 631 |
| Status | Accuracy | Program |
|---|---|---|
| 3.8% | (fma.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) | |
| 40.1% | (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) | |
| ✓ | 46.8% | (-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
| 20.7% | (+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 46.8% | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
| ✓ | 46.3% | (log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
| 2.1% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) | |
| ✓ | 1.7% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
| 2.1% | (log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) | |
| 98.4% | #s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) | |
| 98.4% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) | |
| 98.2% | #s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6)) (*.f64 #s(literal 1/6 binary64) x))))) | |
| 97.6% | #s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)))) | |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) | |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
| 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) | |
| ✓ | 98.5% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
| ✓ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
| ✓ | 98.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
| 23.4% | #s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) | |
| ✓ | 98.3% | #s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
Compiled 1 299 to 407 computations (68.7% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (* x (+ (* (* x x) (+ (* (* x x) 1/2835) -1/180)) 1/6)) (*.f64 #s(literal 1/6 binary64) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/3150 binary64)) #s(literal 1/5 binary64)) #s(literal 6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 x (*.f64 x #s(literal 1/5 binary64)) #s(literal 6 binary64))) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))) x) x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (*.f64 x x)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) #s(approx (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x #s(approx (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)) (*.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) x) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* 1/6 (* x x)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 x (*.f64 #s(literal 1/120 binary64) (*.f64 x (*.f64 x x))))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (/ (sinh x) x) #s(approx (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
(log.f64 #s(approx (/ (sinh x) x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (*.f64 x (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))) |
(log.f64 (/.f64 (sinh.f64 x) x)) |
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(-.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 x) x) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
3 calls:
| 171.0ms | x |
| 84.0ms | (/.f64 (sinh.f64 x) x) |
| 10.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
| 98.5% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.5% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) |
3 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) #s(approx (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
3 calls:
| 43.0ms | x |
| 2.0ms | (/.f64 (sinh.f64 x) x) |
| 2.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.4% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
Total -0.1b remaining (-8.7%)
Threshold costs -0.1b (-8.7%)
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x)) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 1.0ms | (/.f64 (sinh.f64 x) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | x |
| 98.3% | 1 | (log.f64 (/.f64 (sinh.f64 x) x)) |
| 98.3% | 1 | (/.f64 (sinh.f64 x) x) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 97 |
| 1 | 38 | 97 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 6 binary64)))))) |
#s(approx (log (/ (sinh x) x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64)) x))) |
#s(approx (log (/ (sinh x) x)) (*.f64 x (/.f64 x #s(approx (/ 1 (+ (* x (* x (+ (* (* x x) 1/2835) -1/180))) 1/6)) #s(literal 6 binary64))))) |
#s(approx (log (/ (sinh x) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
| 16 092× | lower-fma.f64 |
| 16 092× | lower-fma.f32 |
| 13 648× | lower-fma.f64 |
| 13 648× | lower-fma.f32 |
| 5 172× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 394 |
| 1 | 157 | 390 |
| 2 | 395 | 384 |
| 3 | 1186 | 384 |
| 4 | 2106 | 384 |
| 5 | 3935 | 384 |
| 6 | 4551 | 380 |
| 7 | 4952 | 380 |
| 8 | 6424 | 380 |
| 0 | 8057 | 362 |
| 0 | 232 | 3152 |
| 1 | 599 | 3128 |
| 2 | 1527 | 3128 |
| 3 | 3907 | 3128 |
| 0 | 8260 | 3016 |
| 0 | 67 | 567 |
| 0 | 97 | 527 |
| 1 | 411 | 499 |
| 2 | 2635 | 491 |
| 0 | 8459 | 477 |
| 0 | 37 | 230 |
| 0 | 67 | 225 |
| 1 | 256 | 225 |
| 2 | 1853 | 225 |
| 0 | 8586 | 225 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 161 to 90 computations (44.1% saved)
Compiled 140 to 68 computations (51.4% saved)
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